Hopf Algebras, Renormalization and Noncommutative Geometry

1998/08/07 by Alain Connes, Dirk Kreimer · 4 citations
Physics and Astronomy · Mathematics · #hep-th #math.OA #math.QA

paper · pdf · doi:10.1007/s002200050499

published as Commun.Math.Phys. 199 (1998) 203-242 · 49 pages, Latex, 14 Fig's using epsf

arxiv created 1998/08/07 · arxiv updated 2009/11/30

Abstract

We explore the relation between the Hopf algebra associated to the renormalization of QFT and the Hopf algebra associated to the NCG computations of transverse index theory for foliations.

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